W. Va. Code § 11-10-18b
(a) General rule. - If a person required to make monthly or quarterly installment payments of any annual tax administered under this article, except the taxes imposed by article twenty-one, twenty-three or twenty-four [§§11-21-1 et seq., §§11-23-1 et seq. or §§11-24-1 et seq.] of this chapter fails to timely remit any installment payment of such tax or remits less than the amount of the required installment payment of such tax, there shall be added to the tax due for the taxable year an amount determined by applying the rate established under section seventeen or seventeen-a [§11-10-17 or §11-10-17a] of this article, as appropriate for the taxable year, to the amount of the underpayment of estimated tax, for the period of the underpayment.
(c) Period of underpayment. - The period of underpayment of any installment shall run from the date the installment was required to be paid (due date) to whichever of the following dates is the earlier:
(d) Waiver in certain cases. - No addition to tax shall be imposed under this section with respect to any underpayment of estimated tax if and to the extent the Tax Commissioner determines that: